If , then we can immediately cancel the factors of
:
Factorize the numerator and denominator:
Next, if , then
A certain lottery has 38 numbers. In how many different ways can 4 of the numbers be selected? (Assume that order of selection
2 answers:
Answer:
There are 73815 ways of selecting 4 of the lottery numbers.
Step-by-step explanation:
The total amount of ways to pick 4 numbers from a set of 38 ignoring the order is given by the combinatorial number of 38 with 4, denoted by , which is
Therefore, there are 73815 ways of picking 4 of the numbers.
Answer:
We conclude that have 73815 a different ways.
Step-by-step explanation:
We know that a certain lottery has 38 numbers. We assume that order of selection is not important. We calculate how many different ways can 4 of the numbers be selected.
So out of 38 numbers we choose 4 numbers. We get:
We conclude that have 73815 a different ways.
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<h3>Multiplication Property of Equality is the missing reason</h3>
<em><u>Solution:</u></em>
Given that,
five thirds times x plus 2 equals negative 3
Therefore,
<em><u>Multiplication Property of Equality</u></em>
The Multiplication Property of Equality means that, if both sides of an equation is multiplied by same number, the equation still remains equal
Multiply both sides by 3
<em><u>Subtraction Property of Equality</u></em>
The Subtraction Property of Equality means that, we can subtract the same number from both sides of equation and the equation will still be true
5x + 6 = -9
Subtract 6 from both sides
5x + 6 - 6 = -9 - 6
5x = -15
<em><u>Division Property of Equality</u></em>
The Division Property of Equality means that, if both sides of an equation is divided by same number, the equation still remains true
5x = -15
Divide both sides by 5
x = -3
Answer:
Step-by-step explanation:
Given
Required
Model as the area
Expand:
Factorize:
Area is calculated as:
So, by comparison: